document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53764>Question 53764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Got an algebra question.  Suppose 8 is less than X, and X is less than 12.     Write an \"absolute value\" inequality that is equivalent to this compound inequality.\r<BR>\n" );
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document.write( "I can turn an absolute value inequality to a compound inequality, but can't seem to turn this compound into an absolute value inequality.\r<BR>\n" );
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document.write( "Thanks for the assist.<BR>\n" );
document.write( "Respectfully,<BR>\n" );
document.write( "Joe Hoerth<BR>\n" );
document.write( "Coppell, Texas </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35998 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8 is less than X, and X is less than 12:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%3C+x+%3C+12 ALIGN=MIDDLE  ALT=\"8+%3C+x+%3C+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The difference between 8 and 12 is 4. Half of 4 is 2. Therefore, since we want an absolute value inequality, we need to change those values (8 and 12) into numbers with opposite signs. The ones that will work are -2 and 2. Now that we know that, it's pretty easy:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%3C+x+%3C+12 ALIGN=MIDDLE  ALT=\"8+%3C+x+%3C+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+-+10+%3C+x+-+10+%3C+12+-+10 ALIGN=MIDDLE  ALT=\"8+-+10+%3C+x+-+10+%3C+12+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%3C+x+-+10+%3C+2 ALIGN=MIDDLE  ALT=\"-2+%3C+x+-+10+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x-10%29+%3C+2 ALIGN=MIDDLE  ALT=\"abs%28x-10%29+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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